Pressure & Volume Correction Real Gas Equations

The product of the pressure and volume of an ideal gas is

An ideal gas expands in such a manner that its pressure and volume can be related by equation PV^(2) = constant. During this process, the gas is

An ideal gas expands in such a manner that its pressure and volume can be related by equation PV^(3)=constant . During this process, the gas is

"Vander Waals Equation OF State, Pressure Correction and Volume Correction,Units and Significance OF a and b"

Pressure versus volume graph for real gas and are shown in figure. Answer the following question on the basis of this graph. (i) Interpret the behaviour of real gas with respect to ideal gas at low pressure. (ii) Interpret the behaviour of real gas with respect to ideal gas at high pressure. (iii) Mark the pressure and volume by drawing a line at the point where real gas behaves as an ideal gas.

In the van der Waal's equation for real gases, corrections are introduced for both the pressure and the volume terms of the Ideal Gas Equation. Identify the origin of both correction factors and specify whether each is added to or subtracted from the corresponding ter.

For the non-zero volume of the molecules, real gas equation for n mol of the gas will be